Question

List the differences between a square and a rhombus.

Answer 1

Hint: Draw a square and a rhombus. Compare their different properties such as length of sides, the measure of angles, area and perimeter, length of diagonals to find the differences between them.

Complete step-by-step answer:
We have to list the differences between a square and a rhombus.
We will firstly draw a square and a rhombus and then compare their various properties.

Here, ABCD is a square and PQRS is a rhombus.
We observe that a square is a parallelogram whose all sides are of equal length. While rhombus is a parallelogram whose opposite sides are of equal length.
All the four angles of a square are equal ${{90}^{\circ }}$. However, in a rhombus, the opposite angles are of equal measure. Thus, all the sides of a square are perpendicular to each other. However, the sides of a rhombus are not perpendicular to each other.
Both the diagonals of a square are of equal length. However, the length of diagonals of a rhombus is unequal.
The area of a square with a side of length ‘x’ is given by ${{x}^{2}}$. However, the area of a rhombus is half of the product of the length of the diagonals.
The perimeter of a square with a side of length ‘x’ is given by 4x. However, the perimeter of a rhombus whose sides are of length ‘a’ and ‘b’ is given by $2\left( a+b \right)$.
Hence, we have listed all the differences between a square and a rhombus.

Note: It’s necessary to draw both the figures to observe the differences between them. Otherwise, we might miss out on some differences, or we should memorize all the properties of both square and rhombus.